Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Cost	$ 598,641	$ 348,982
Accumulated Amortization	274,714	170,581
Net Book Value	323,927	178,401
Patents
Finite-Lived Intangible Assets [Line Items]
Cost	8,996	1,225
Accumulated Amortization	8,911	1,106
Net Book Value	85	119
Completed Technology
Finite-Lived Intangible Assets [Line Items]
Cost	258,146	99,525
Accumulated Amortization	85,726	37,991
Net Book Value	172,420	61,534
Trademarks and Trade Names
Finite-Lived Intangible Assets [Line Items]
Cost	8,848	400
Accumulated Amortization	2,865	41
Net Book Value	5,983	359
Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Cost	731	681
Accumulated Amortization	553	439
Net Book Value	178	242
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Cost	321,024	246,949
Accumulated Amortization	176,432	130,802
Net Book Value	144,592	116,147
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Cost	896	202
Accumulated Amortization	227	$ 202
Net Book Value	$ 669